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Auteurs-es

Derradji Guidad University of Biskra, Algeria. Auteur-e
Djamel Ouchenane University of Laghouat, Algeria Auteur-e
Khaled Zennir Qassim University, Ar-Rass, Saudi Arabia Auteur-e https://orcid.org/0000-0002-7895-4168

DOI :

https://doi.org/10.69717/ijams.v2.i2.147

Mots-clés :

Viscoelastic equation, Blow up, Strong damping, Distributed delay

Résumé

In this work, we are concerned with a problem for coupled non-linear viscoelastic wave equation with distributed delay and strong damping and source terms, under suitable conditions we prove the blow up result of

solutions. 

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Biographies de l'auteur-e

  • Derradji Guidad, University of Biskra, Algeria.

    Department of Mathematics, Faculty of Exact Sciences, University of Biskra, Algeria.

  • Djamel Ouchenane, University of Laghouat, Algeria

    Laboratory of pure and applied mathematic, University of Laghouat, Algeria

  • Khaled Zennir , Qassim University, Ar-Rass, Saudi Arabia

    Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

Références

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Kafini, M., & Messaoudi, S. A. (2008). A blow-up result in a Cauchy viscoelastic problem. Applied Mathematics Letters, 21, 549–553. Google Scholar. https://doi.org/10.1016/j.aml.2007.07.004

Liang, G., Zhaoqin, Y., & Guonguang, L. (2015). Blow up and global existence for a nonlinear viscoelastic wave equation with strong damping and nonlinear damping and source terms. Applied Mathematics, 6, 806–816. Google Scholar. http://dx.doi.org/10.4236/am.2015.65076

Messaoudi, S. A. (2006). Blow up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation. Journal of Mathematical Analysis and Applications, 320, 902–915. Google Scholar. https://doi.org/10.1016/j.jmaa.2005.07.022

Nicaise, S., & Pignotti, C. (2008). Stabilization of the wave equation with boundary or internal distributed delay. Differential and Integral Equations, 21(9–10), 935–958. Google Scholar. DOI: 10.57262/die/1356038593

Ouchenane, D., Zennir, Kh., & Bayoud, M. (2013). Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms. Ukrainian Mathematical Journal, 65(7), 723–739. Google Scholar. https://doi.org/10.1007/s11253-013-0809-3

Song, H. T., & Xue, D. S. (2014). Blow up in a nonlinear viscoelastic wave equation with strong damping. Nonlinear Analysis, 109, 245–251. Google Scholar. https://doi.org/10.1016/j.na.2014.06.012.

Song, H. T., & Zhong, C. K. (2010). Blow-up of solutions of a nonlinear viscoelastic wave equation. Nonlinear Analysis: Real World Applications, 11, 3877–3883. Google Scholar. https://doi.org/10.1016/j.nonrwa.2010.02.015.

Zennir, Kh. (2013). Exponential growth of solutions with Lp -norm of a nonlinear viscoelastic hyperbolic equation. Journal of Nonlinear Science & Applications, 6, 252–262. Google Scholar.

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Publié

2025-12-09

Numéro

Vol. 2 No. 2 (2025): IJAMS 2992-1708

Rubrique

Articles

Licence

© International Journal of Applied Mathematics and Simulation 2025

Licence Creative Commons

Cette œuvre est sous licence Creative Commons Attribution - Pas d'Utilisation Commerciale 4.0 International.

Comment citer

Finite Time Blow Up of Coupled Nonlinear Viscoelastic Wave Equations with Distributed Delay and Strong Damping. (2025). International Journal of Applied Mathematics and Simulation, 2(2), 48-57. https://doi.org/10.69717/ijams.v2.i2.147